6533b828fe1ef96bd1287bbe
RESEARCH PRODUCT
Boolean-controlled systems via receding horizon and linear programing
Dario Bausosubject
Inventory controlMathematical optimizationControl and OptimizationLinear programmingApplied MathematicsHorizonSIGNAL (programming language)Binary numberSet (abstract data type)PolyhedronControl and Systems EngineeringControl theoryHybrid systemSignal ProcessingImpulse control inventory control hybrid systemsMathematicsdescription
We consider dynamic systems controlled by boolean signals or decisions. We show that in a number of cases, the receding horizon formulation of the control problem can be solved via linear programing by relaxing the binary constraints on the control. The idea behind our approach is conceptually easy: a feasible control can be forced by imposing that the boolean signal is set to one at least one time over the horizon. We translate this idea into constraints on the controls and analyze the polyhedron of all feasible controls. We specialize the approach to the stabilizability of switched and impulsively controlled systems.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 |